Curvature and Gravity Actions for Matrix Models

Details Curvature and Gravity Actions for Matrix Models Curvature and Gravity Actions for Matrix Models

2010-03-22

arxiv.org/abs/1003.4132v3

Class. Quantum Grav. 27:165010, 2010

Physics

High Energy Physics

High Energy Physics - Theory

17 pages; v2+v3: minor corrections

Scientific paper

We show how gravitational actions, in particular the Einstein-Hilbert action, can be obtained from additional terms in Yang-Mills matrix models. This is consistent with recent results on induced gravitational actions in these matrix models, realizing space-time as 4-dimensional brane solutions. It opens up the possibility for a controlled non-perturbative description of gravity through simple matrix models, with interesting perspectives for the problem of vacuum energy. The relation with UV/IR mixing and non-commutative gauge theory is discussed.

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